[See Solution] If five integers are chosen from the set 1,2,3,4,5,6,7,8, must there be at least two integers with the property that the larger minus the


Question: If five integers are chosen from the set \(\{1,2,3,4,5,6,7,8\}\), must there be at least two integers with the property that the larger minus the smaller is 2? Explain your answer clearly.

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